Download WS Chapter 4

WS Chapter 4
Algebra 2 Trig
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Identify the vertex, axis of symmetry, the maximum or minimum value, and the domain and the
range of each function. Then graph.
1. y = -5x2
2. y = x2 + 4
2
3. f(x) = (x – 3)
4. f(x) = (x – 2)2 + 3
5. y = x2 – 4x + 1
6. y = -3x2 + 18x – 27
Write each function in vertex form.
7. y = x2 – 8x + 19
9. y = 2x2 – 12x + 11
8. y = 2x2 + x
10. y = -2x2 – 4x + 6
Factor each expression completely.
11. x2 + 11x + 28
13. y2 – 8y + 15
15. –t2 – 3t + 54
17. 2x2 + 22x + 60
19. 3x2 + 10x + 8
21. 9x2 – 6x + 1
23. n2 – 49
25. 3x2 + 8x – 3
12.
14.
16.
18.
20.
22.
24.
26.
Solve each equation by factoring.
27. 3x2 = x + 4
29. x2 – 6x + 9 = 0
28. 3x2 + 45 = 24x
30. 4x2 + 6x = 0
x2 – 12x + 32
x2 – 12x + 32
x2 – 7x – 60
5x2 + 25x – 70
2x2 – 9x – 5
4k2 + 12k + 9
2x2 – 50
-10x2 + x + 21
Solve each equation by completing the square.
31. x2 – 10x + 25 = 144
32. 25x2 – 30x + 9 = 81
2
33. –x + 6x + 10 = 0
34. 4x2 + 20x + 1 = 0
Solve each equation using the quadratic formula.
35. x2 + 12x + 35 = 0
36. x2 + 16 = 8x
2
37. x + 4x – 3 = 0
38. -3x2 – 8x + 16 = 0
Evaluate the discriminant for each equation. Determine the number of real solutions.
39. x2 + 5x + 8 = 0
40. x2 – 5x + 4 = 0
2
41. 4x + 4x = -1
42. 5x2 = 3x – 2
Solve each equation using any method. When necessary, round real solutions to the nearest
hundredth.
43. 4x2 + x – 3 = 0
44. 5x2 – 6x – 2 = 0
2
45. x – 5x – 9 = 0
46. 15x2 – 2x – 1 = 0
47. 2x2 = 5x – 3
48. 4x2 + 3x = 5